26827432162960 has 640 divisors, whose sum is σ = 81780465715200. Its totient is φ = 8018614517760.

The previous prime is 26827432162957. The next prime is 26827432162987. The reversal of 26827432162960 is 6926123472862.

It is a super-3 number, since 3×26827432162960³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 26827432162895 and 26827432162904.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3055859851 + ... + 3055868629.

It is an arithmetic number, because the mean of its divisors is an integer number (127781977680).

Almost surely, 2^{26827432162960} is an apocalyptic number.

26827432162960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26827432162960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40890232857600).

26827432162960 is an abundant number, since it is smaller than the sum of its proper divisors (54953033552240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26827432162960 is a wasteful number, since it uses less digits than its factorization.

26827432162960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9679 (or 9673 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 58.

The spelling of 26827432162960 in words is "twenty-six trillion, eight hundred twenty-seven billion, four hundred thirty-two million, one hundred sixty-two thousand, nine hundred sixty".